Question

If 35 teams then the number of matches in the first round will be a) 8 b) 12 c) 24 d)16​

Answer 1

Answer:

34

Explanation:

Because we put n-1 for find that how many teams will play after elemination we decide to play 2nd round

Answer 2

Given: Total number of teams = 35

To Find: The number of matches in the first round

Solution:

Here, the number of teams is not a multiple of 2ⁿ, therefore byes will be given in the first round.

A team given a bye does not compete in the first round or it is said to play with a dummy team in the first round. This is to ensure that each team gets a match in the successive rounds.

Number of byes to be given = Closest multiple of  2ⁿ - Total number of teams

The closest 2ⁿ multiple of 35 is 64, where n = 6

Number of byes = 64 -35

                           = 29

29 teams will be given byes, so they will not compete in the first round.

Teams that will have a match = Total teams - Teams given byes

                                                 = 35 - 29

                                                 = 6

Number of matches = No of teams playing / 2

                                 = 3

Therefore, the number of matches in the first round will be 3.